Given that , find in terms of and show that

.

(Worried)

EDIT:Sorry, It is a typo, it should be .

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- Jun 15th 2008, 03:06 AMSimplicityChain Rule?
Given that , find in terms of and show that

.

(Worried)

**EDIT:**Sorry, It is a typo, it should be . - Jun 15th 2008, 03:17 AMSilver
(Surprised)

I remember doing this question!

*dives into the past papers*

I also remember doing it wrong and teacher correcting me :p

I can do the first part though...

Using the chain rule, we know:

and if you substitute that in, you'll get this:

- Jun 15th 2008, 03:23 AMSimplicity
- Jun 15th 2008, 03:35 AMmr fantastic
- Jun 15th 2008, 03:37 AMMoo
Hi,

I'm not really sure because I can't get to your equation...

And sorry for the "d", it takes too long time to straighten them...

You're looking for

-----------------------

Now, (we have to do it because the variable is t in the brackets, not x).

Replacing :

Using the product rule :

Edit : oh I see, you made a typo, Air :D

Re-edit : too fast for me Mr F :( - Jun 15th 2008, 03:48 AMEhsan
I think You have written the second part wrong. It should be:

Solution:

Regards,